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Finding the Fourth Proportional to 2,174.78, 3,001.50 and 1,230.86

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Solution

The fourth proportional to 2,174.78, 3,001.50 and 1,230.86 is: 1,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.78 : 3,001.50 = 1,230.86 : x
  2. Step 2: Convert to fraction form
    2,174.78/3,001.50 = 1,230.86/x
  3. Step 3: Cross multiply
    2,174.78x = 3,001.50 × 1,230.86
  4. Step 4: Simplify right side
    2,174.78x = 3,694,426.29
  5. Step 5: Solve for x
    x = 3,694,426.29/2,174.78
  6. Step 6: Final answer
    x = 1,698.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.